What is that mean in English?

Thanks. 

I believe it´s:

Teacher, shall we do homework today?

thanks.

What is this mean in Turkish "Size ne yemek pişireyim?"

I looked at that - I wasn´t sure. The Turkish may not be correct. But I thought it meant: What shall I cook you? (you plural)

Güzel. Thanks.

I thought

you eat what I´m cooking?

Hopefully someone can translate that, my attempt:

Ne pişiriyorum, yiyecek misin?

What food should I cook for you?

sana (you) ne yemek (what food) pişireyim (subjunctive, i should cook)

where is should implied

pişirmek to me means cook

Good point, closer might be ´shall´. But should/shall are often interchangable.

Here´s a link to this tense: http://www.turkishlanguage.co.uk/submood.htm 

very helpful link

thank you